论文标题

轻松的铃铛不平等作为测量依赖与隐藏之间的权衡关系

Relaxed Bell inequalities as a trade-off relation between measurement dependence and hiddenness

论文作者

Kimura, Gen, Susuki, Yugo, Morisue, Kei

论文摘要

违反贝尔不平等的量子相关性无法通过任何(测量独立)局部隐藏变量理论来解释。但是,违规仅意味着现实,当地性和测量独立性的基本假设的不兼容,并且没有解决每个假设在定量上违反的程度。相比之下,霍尔(2010,2011)对每个假设进行了量化,并概括了钟声不平等,从而在基本假设之间产生了权衡关系。在本文中,我们介绍了隐藏变量(隐藏性)的量化,并得出了对任何局部隐藏变量理论所具有的隐藏性和测量依赖性之间的新权衡关系。

Quantum correlations that violate the Bell inequality cannot be explained by any (measurement independent) local hidden variable theory. However, the violation only implies incompatibility of the underlying assumptions of reality, locality, and measurement independence, and does not address the extent to which each assumption is violated quantitatively. In contrast, Hall (2010,2011) gave a quantification of each assumption and generalized the Bell-CHSH inequality that gives a trade-off relationship between the underlying assumptions. In this paper, we introduce a quantification of hidden variables (hiddenness) and derive a new trade-off relation between the hiddenness and the measurement dependency that holds for any local hidden variable theory.

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